caa a22 4500 445386266 CHVBK 20180317143033.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10714-011-1236-0 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1236-0 Ricci flow for homogeneous compact models of the universe [Elektronische Daten] [I. Ozsváth, E. Schücking, C. Lin] Using quaternions, we give a concise derivation of the Ricci tensor for homogeneous spaces with topology of the 3-dimensional sphere. We derive explicit and numerical solutions for the Ricci flow PDE and discuss their properties. In the collapse (or expansion) of these models, the interplay of the various components of the Ricci tensor are studied. Springer Science+Business Media, LLC, 2011 Ricci flow nationallicence Ricci tensor nationallicence 3-sphere nationallicence Ozsváth I. Department of Mathematics, The University of Texas at Dallas, 800 W Campbell Rd, 75080, Richardson, TX, USA aut Schücking E. Department of Physics, New York University, 4 Washington Place, 10003, New York, NY, USA aut Lin C. Department of Physics, New York University, 4 Washington Place, 10003, New York, NY, USA aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3381-3398 0001-7701 43:12<3381 2011 43 10714 https://doi.org/10.1007/s10714-011-1236-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1236-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ozsváth I. Department of Mathematics, The University of Texas at Dallas, 800 W Campbell Rd, 75080, Richardson, TX, USA aut NATIONALLICENCE 700 1- Schücking E. Department of Physics, New York University, 4 Washington Place, 10003, New York, NY, USA aut NATIONALLICENCE 700 1- Lin C. Department of Physics, New York University, 4 Washington Place, 10003, New York, NY, USA aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3381-3398 0001-7701 43:12<3381 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer